Question

Which of the following values are solutions to the inequality 4 > 2 - 4x?

I. - 4
II. -1
III. 2

Answer 1

The answer is III.2 ........

Answer 2

III. 2

Explanation:

To solve out the inequality, first you subtract 2 on each side, leaving you with 2 > -4x. Then, you divide each side by -4. When you divide by a negative, the direction of the sign switches. Therefore, you get -2/4 < x which is -1/2 < x in simplified version. This means that x is anything greater than -1/2. The only answer choice that is greater than -1/2 is III.